I should have come into this thread sooner. With this list, I'm leaving anything involving Final Fantasy out. I started a thread for that.
Dragon Quest IX
I've played several entries in the series, but this one is my favorite. The world itself is a puzzle and the end boss is pretty unexpected. If you like older-school JRPGs, I'd
highly recommend it.
Saints Row the 4th
Who would have thought that flying around and beating things with THE purple bat (you know which one) could have been such a blast. It's good to be the President.
Diablo 2 and Diablo 3
The story of Sanctuary draws me in as much as the villains do. I really liked the combat, and playing co-op in D3 with the Sasquatch is a lot of fun. Shame about the always online component.
Warcraft 3
I'll be honest: I suck at RTS games. However, the story was compelling enough to make me grit my teeth and get through it. I'm glad I did.
Anticipation
This was a NES game largely forgotten about that came out in 1988. It was a board game combined with Connect the Dots. The faster you buzzed in, the more moves you got. It could handle up to 4 players and you just trade off controllers between turns. It was a bonding moment among my family during a rough time.
Here's an example of the gameplay. Start at 41 seconds.
Rampage, Arcade Version
Ah, nothing like smashing buildings for no other reason than to fight giant monsters and to destroy stuff. Good times.
There's more, but this post is long enough.